2406420 has 72 divisors (see below), whose sum is σ = 7567560. Its totient is φ = 618240.

The previous prime is 2406379. The next prime is 2406457. The reversal of 2406420 is 246042.

2406420 is a `hidden beast` number, since 24 + 0 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 2268036 = 372^2 + 1506^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2406393 and 2406402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4990 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (105105).

2^2406420 is an apocalyptic number.

2406420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783780).

2406420 is an abundant number, since it is smaller than the sum of its proper divisors (5161140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2406420 is a wasteful number, since it uses less digits than its factorization.

2406420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2406420 is about 1551.2640007426. The cubic root of 2406420 is about 134.0058659346.

The spelling of 2406420 in words is "two million, four hundred six thousand, four hundred twenty".